Aimee is shipping a care package to her friend in college, the max volume of the box is mathematically given as
V=1539.6007
<h3>What is the max
volume of the box?</h3>
Generally, the equation for the height is mathematically given as
V=(20-2x)(40-2x)x
Where x is the height
V=4x^3-120x^2+800x
differentiate v and solve
dv/dx=3x^2-60+200
3x^2-60+200=0
Therefore
x=
x=
x=4.2265
In conclusion, the second differentiation of v and solve we have
d^2v/dx^2=24-240
Hence
d^2v/dx^2< 0
V=(20-2x(40-2x)x
subsitute x
V=(20-2(4.2265))(40-2(4.2265))(4.2265)
V=1539.6007
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The answer is B.4940. I found the picture of the pyramid u forgot to post. The volume for pyramid is lwh/3
Answer: $18.20
Step-by-step explanation:
390.40/16 to find the initial costs of the shares. That would be $24.40 per share. However, since the stock has fallen, you would do that same division, but with the new value. 291.20/16, which is $18.20
Total gumballs= 6 yellow+ 5 green + 4 red
= 15 gumballs
Green gumballs=5
Other gumballs= 15-5= 10
Probability= Other non-green gumballs/Total gumballs
=10/15 = 2/3
Probability of not getting green gumball is 2/3 or 66.66666.... %
The ration is 2:3.
The length of the bacteria should be written in scientific notation.
0.00365 in scientific notation = 3 × 10^-3
Given.
length of the bacteria in decimal = 0.00365 cm long
Scientific notation is written in the format x × 10ⁿ
where,
x = any number between digit 1 and 10
n = exponent (positive or negative).
- To have a negative exponent value, move decimal to the right
- To have a positive exponent value, move the decimal point to the left.
In this case, the nearest significant value is 3
So move the decimal point three times to where 3 is
That is,
0.00365 = 3.65
Since the decimal point is moved to the right 3 times, n = - 3
we have 10^-3
Therefore,
0.00365 in scientific notation = 3 × 10^-3
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